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研究所、轉學考(插大)-微積分
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109年 - 109 國立臺灣大學轉學生招生考試試題_理工科聯招：微積分(B)#110852
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題組內容
3.
(b) The local minimum values of g(x) occur at x =__(9)__
其他申論題
(d) f(x,y)= for (x,y)≠(0,0) and f(0,0) = 0. The directional derivative of f along u = (cosθ,sinθ) at (0,0) is__(7)__.
#474778
(a) Choose correct statement(a) about. g(x): __(8)__ i. g(x) is discountinuous at x = 3.ii. g(x) is not differentiable at x = 3.iii. g(x) is differentiable at x = 0 and g'(0) = -1.iv. g(x) ＜ 0for -1 ≤x≤0.
#474779
(c) The t-coordinates of points of inflection for y = g(x) are __(10)__.
#474783
4. A vertical fence 2 m high is located 1 m away from a wall. The length of the shortest ladder that can extend from the wall over the fence to a poiut on the ground is __(11)__.
#474784
(a)=____ (12)____.
#474785
(b)=__(13)__.
#474786
(c) =__(14)__.
#474787
(a) dA = __(15)__ , where D is the region in the first quedrant that lies betwoen the circles x2 + y2 = 4and (x-1)2+y2=1.
#474788
(b) The volume of the solid R lying below the plane z= 3 -2y and above the paraboloid z = x2 + y2 is __(16)__.
#474789
(a) C is a smooth curve in the upper half plane going from (1,1) to . =__(17)__.
#474790
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